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Finding the Fourth Proportional to 16,506.52, 24,759.76 and 7,735.02

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Solution

The fourth proportional to 16,506.52, 24,759.76 and 7,735.02 is: 11,602.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,506.52 : 24,759.76 = 7,735.02 : x
  2. Step 2: Convert to fraction form
    16,506.52/24,759.76 = 7,735.02/x
  3. Step 3: Cross multiply
    16,506.52x = 24,759.76 × 7,735.02
  4. Step 4: Simplify right side
    16,506.52x = 191,517,238.80
  5. Step 5: Solve for x
    x = 191,517,238.80/16,506.52
  6. Step 6: Final answer
    x = 11,602.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.